广义渐近拟非扩张映射不动点的收敛性  

Convergence of Generalized Asymptotically Quasi-nonexpansive Mappings

作　　者：吴婷[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《四川理工学院学报（自然科学版）》2007年第6期27-31,共5页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：在凸度量空间中,引入一类比渐近拟非扩张映射更加广泛的广义渐近拟非扩张型映射,并在完备凸度量空间给出修改的Ishikawa迭代序列收敛于广义渐近拟非扩张型映射不动点的充要条件。In convex spaces ,this paper introduces a generalized asymptotically quasi-nonexpansive type mapping--a class of mapping.which is more general than asymptotic quasi-nonexpansive type mapping and gives some necessary and sufficient conditions for the lshikawa iterative sequence to converge to a fixed point of generalized asymptotically quasi-nonexpansive type mapping in convex metric spaces.

关 键 词：完备凸度量空间 广义渐近拟非扩张型映射 修改的lshikawa达代序列 不动点 

分 类 号：O189.2[理学—数学]